classwork CPCTC Practice with Algebra

Front

What does CPCTC stand for in geometry?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is a principle used to prove that corresponding sides and angles of congruent triangles are equal.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are congruent, what can we say about their corresponding angles?

Back

If two triangles are congruent, then their corresponding angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If ΔABC ≅ ΔXYZ, what can we conclude about side AB?

Back

Side AB is equal to side XY.

Tags

CCSS.HSG.CO.B.7

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ∠A = 48° and ∠F is the corresponding angle in a congruent triangle, what is the measure of ∠F?

Back

∠F = 48°.

Tags

CCSS.HSG.CO.B.7

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If ΔDEF ≅ ΔRST, what can we conclude about side DE?

Back

Side DE is equal to side RS.

Tags

CCSS.HSG.CO.B.7

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

If two angles of a triangle are known, how can you find the third angle?

Back

You can find the third angle by using the fact that the sum of the angles in a triangle is always 180°. Subtract the sum of the known angles from 180°.

Tags

CCSS.8.G.A.5